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Finding the Fourth Proportional to 265,740.16, 366,723.57 and 144,882.33

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Solution

The fourth proportional to 265,740.16, 366,723.57 and 144,882.33 is: 199,938.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,740.16 : 366,723.57 = 144,882.33 : x
  2. Step 2: Convert to fraction form
    265,740.16/366,723.57 = 144,882.33/x
  3. Step 3: Cross multiply
    265,740.16x = 366,723.57 × 144,882.33
  4. Step 4: Simplify right side
    265,740.16x = 53,131,763,640.65
  5. Step 5: Solve for x
    x = 53,131,763,640.65/265,740.16
  6. Step 6: Final answer
    x = 199,938.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.